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Finding the Fourth Proportional to 535,123.38, 802,119.48 and 197,947.52

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Solution

The fourth proportional to 535,123.38, 802,119.48 and 197,947.52 is: 296,712.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,123.38 : 802,119.48 = 197,947.52 : x
  2. Step 2: Convert to fraction form
    535,123.38/802,119.48 = 197,947.52/x
  3. Step 3: Cross multiply
    535,123.38x = 802,119.48 × 197,947.52
  4. Step 4: Simplify right side
    535,123.38x = 158,777,561,809.69
  5. Step 5: Solve for x
    x = 158,777,561,809.69/535,123.38
  6. Step 6: Final answer
    x = 296,712.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.